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Simplifying (14 + 9i) + -1(2 + 3i) = 0 Remove parenthesis around (14 + 9i) 14 + 9i + -1(2 + 3i) = 0 14 + 9i + (2 * -1 + 3i * -1) = 0 14 + 9i + (-2 + -3i) = 0 Reorder the terms: 14 + -2 + 9i + -3i = 0 Combine like terms: 14 + -2 = 12 12 + 9i + -3i = 0 Combine like terms: 9i + -3i = 6i 12 + 6i = 0 Solving 12 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6i = 0 + -12 6i = 0 + -12 Combine like terms: 0 + -12 = -12 6i = -12 Divide each side by '6'. i = -2 Simplifying i = -2
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